# A Bird's Eye View of Nonlinear System Identification

arXiv: https://arxiv.org/abs/1907.06803 · HTML: https://mlsanity.com/paper/1907.06803/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 16 Jul 2019.

## Built on by (most cited first, 2 of 2)

- [Identifiability of Differential-Algebraic Systems](https://mlsanity.com/paper/2405.13818/) (2024)
- [Modelling COVID-19 Pandemic Dynamics Using Transparent, Interpretable, Parsimonious and Simulatable (TIPS) Machine Learning Models: A Case Study from Systems Thinking and System Identification Perspectives](https://mlsanity.com/paper/2111.01763/) (2021)

## Abstract (arXiv)

This text aims at providing a bird's eye view of system identification with special attention to nonlinear systems. The driving force is to give a feeling for the philosophical problems facing those that build mathematical models from data. Special attention will be given to grey-box approaches in nonlinear system identification. In this text, grey-box methods use auxiliary information such as the system steady-state data, possible symmetries, some bifurcations and the presence of hysteresis. The text ends with a sample of applications. No attempt is made to be thorough nor to survey such an extensive and mature field as system identification. In most parts references will be provided for a more detailed study.